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k0ka [10]
3 years ago
11

In the Butterfly Museum, there are only pink and yellow butterflies. The ratio of the number of pink butterflies to the number o

f yellow butterflies is 3:5. If there are 18 pink butterflies, how many butterflies are there altogether?
Mathematics
2 answers:
butalik [34]3 years ago
5 0

Answer:48

Answer:  There are 48 butterflies altogether.

Step-by-step explanation:

Since we have given that

The ratio of number of pink butterflies to the number of yellow butterflies is 3:5

So,Let the number of pink butterflies be 3x

Let the number of yellow butterflies be 5x

As we have given that there are 18 pink butterflies,

So, total number of butterflies is given by

Hence, there are 48 butterflies altogether.

RideAnS [48]3 years ago
4 0

Answer:  There are 48 butterflies altogether.

Step-by-step explanation:

Since we have given that

The ratio of number of pink butterflies to the number of yellow butterflies is 3:5

So,

Let the number of pink butterflies be 3x

Let the number of yellow butterflies be 5x

As we have given that there are 18 pink butterflies,

So,

3x=18\\\\x=\frac{18}{3}\\\\x=6

So, total number of butterflies is given by

5x+3x=8x\\\\8x=8\times 6=48

Hence, there are 48 butterflies altogether.

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8-35. Use your knowledge of polygons to answer the questions below, if possible.
Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is 1980^0

Then:

(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13

The polygon has <u>13 sides.</u>

II. If the Interior angle is 900^0

Then:

(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7

The polygon has <u>7 sides.</u>

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: \frac{360^0}{n}

If the exterior angle of a regular polygon is 90°

Then:

90\°=\frac{360^0}{n}\\ 90n=360\\n=4

The regular polygon has 4 sides and it is called a <u>Square.</u>

<u>(c)</u>The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is:  \frac{(n-2)180^0}{n}

For a pentagon, n=5

Then:

\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0

(d)The <u>sum of the exterior angle of a polygon is 360 degrees.</u>

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

57+74+56+66+x=360^0\\253+x=360\\x=107^0

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180=1620^0

The sum of the interior angle <u>does not change either in a regular or irregular polygon.</u>

3 0
3 years ago
Please help me with this!..
ch4aika [34]

Answer:

I think it would be 12

Step-by-step explanation:

3 0
4 years ago
Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they
inysia [295]
You have two unknown rates, so we need to develop two equations to solve for these unknowns (based on the information given on the problem statement):

5x + 10y = 725
x + y = 100

By substitution, we get:

5x + 10(100 - x) = 725
5x + 1000 - 10x = 725
-5x = 725 - 1000
-5x = -275
x = -275/-5 = 55

100 - 55 = 45

Thus:
The mechanic who worked for 5 hours charged his time at $55/hr, and the mechanic who worked for 10 hours charged his time at $45/hr.

To verify, plug and chug the results back into the original equations:

5(55) + 10(45) = 725
275 + 450 = 725
725 = 725 [OK]

55 + 45 = 100 [OK]
4 0
3 years ago
Last question for my homework
tensa zangetsu [6.8K]

Answer:

A total of 15 cups of punch.

Step-by-step explanation:

20% ( or 0.20) of the punch is pineapple juice so if you have 3 cups of this juice, by proportion, you can make  3 / 0.20 =  15 cups

6 0
4 years ago
Read 2 more answers
Lucas and Tayvan can paint a house in 1 hour working together. If Tayvan works alone, he can paint the house in 1.5 hours. How l
nikitadnepr [17]

Answer:

1 hour

Step-by-step explanation:

no explanation its common sense lol

7 0
3 years ago
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